After two years of performing eight shows a week on the Australian pub circuit, Matt Finish was signed to Peter Dawkins’ The Giant Recording Company. At the finish of 1980, the band released their debut double-A-side single, “Matt Finish Plays Africa” with the songs “C.I.A.” and “Mancini Shuffle”

The following year, 1981, saw the release of the band’s first album Short Note, followed by the live EP Fade Away. Finally, as a result of Moffitt’s declining health, the band split up at the end of the year.A year passed before Moffitt, Prior and Clayton reformed in 1983, joined later in the year by Bertie Dorset. The new line-up recommenced touring and, in November, released Matt Finish. This EP was followed in 1984 by the album Word of Mouth.

The band again broke up in 1985 when Moffitt decided to start a solo recording career.

In 1990 Matt Finish reformed with original members Moffitt and Prior joined by Jennifer Barrett (guitar), former Eurogliders members Guy Le Claire (guitar) and Lindsay Jehan (bass). In 1991 the band split.

Moffitt released a limited edition solo acoustic CD EP, “Euroka”, in April 1992.

In June 1992, Matt Finish released “One Day at a Time”, the first Matt Finish single produced in eight years.

The line-up changed once again, and in 1993 the band, comprising Moffitt, Paul Dawkins (keyboards), Rohan Cannon (guitar), Bobby Christian (bass) and Adrian Cannon (drums) recorded Matt Finish’s third album, By Heart, and released the EP Earthbound. The following year the band released the singles “Blue” and “Will I Ever Know?” recorded with Eliot Reynolds and Justin Leaf. Moffitt, Reynolds and Dawkins co-wrote many new tracks but the band split yet again. Dawkins and Moffitt continued to work together for a couple of years after, including the recording and mixing of an (at the time of writing) unreleased album that contained ten songs

In 2001, Matt Moffitt and Rick Grossman formed the band Fire Hand Ember, with Joseph Calderazzo (guitar/bv) and Wayne Gretch (drums). FHE performed about 20 times, sometimes under the names “Matt Finish” and “Matt Moffitt”, including at the launch of Just a Short Note (The Best Of) in December.

On 13 August 2003, Matt Moffitt died in Sydney in his sleep from a stroke at the age of 46.